Integer and combinatorial optimization
Integer and combinatorial optimization
An efficient algorithm for finding a maximum weight 2-independent set on interval graphs
Information Processing Letters
Routing and wavelength assignment in all-optical networks
IEEE/ACM Transactions on Networking (TON)
Optical networks: a practical perspective
Optical networks: a practical perspective
New methods to color the vertices of a graph
Communications of the ACM
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This paper addresses the wavelength assignment problem (WAP) in optical wavelength division multiplexed (WDM) telecommunication networks. We show that, even though WAP on optical ring topology belongs to NP-hard, WAP can be exactly solvable in practical size optical WDM rings for current and future traffic demand. To accomplish this, we convert WAP to the vertex coloring problem of the related graph and choose a special integer programming formulation for the vertex coloring problem. We develop a branch-and-price algorithm for the problem and carry out the performance comparison of the suggested algorithm with a well-known heuristics.